Adaptação do método de Bott para contraste de densidade variando com a profundidade

Abstract

We present a new method to estimate the basement relief of a sedimentary basin through the analytic extension of the expression of the slab Bouguer for the case of a density contrast between the basement and the sediments decreasing monotonically with depth according to a hyperbolic law. The method requires that the noise in data have a standard deviation smaller than 0.01 mGal. The basement relief estimates are obtained at positions located directly below each observation. The methodology was applied on synthetic data from a simulated sedimentary basin presenting smooth basement relief. The method produced estimated basement topographies close to simulated basement topographies. The method was also applied to three sets of real Bouguer anomalies: Recôncavo Basin (Brazil), Büyük Menderes Graben (Turkey) and San Jacinto Graben (United States). The solutions produced by the proposed method attained maximum basement depth estimates in accordance with the available geological information: 6 km to Reconcavo Basin, 1.6 km to Büyük Menderes Valley, and 2.2 km to San Jacinto Graben.